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    bluemoon690's Avatar
    bluemoon690 Posts: 1, Reputation: 1
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    #1

    Feb 2, 2010, 08:12 PM
    How many even positive integral factors does 84,000,000 have?
    I know it has 252 total positive factors, but how many are even?
    Clough's Avatar
    Clough Posts: 26,677, Reputation: 1649
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    #2

    Feb 2, 2010, 11:42 PM
    Hi, bluemoon690!

    Are you looking for direct answers to your question, or for someone to help you with coming up with the answer yourself, please?

    If it's the former, please click on the following link to read the announcement there.

    https://www.askmehelpdesk.com/math-s...-b-u-font.html

    Thanks!
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Feb 3, 2010, 08:07 AM

    Here's a hint - it's easier to figure out how many of the factors are odd.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Feb 3, 2010, 11:37 AM

    There's a trick to finding how many divisors a numbers has by looking at the exponents of its prime factorization.



    Now, add 1 to each exponent and multiply.

    I bet you get 252.

    This is the total number of divisors including 1 and the number itself. Not just the even ones.

    The divisors that are even have at least one 2.

    Can you get it now?
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